# Dukales

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bio website location Russia age member for 1 year, 3 months seen Feb 18 at 6:23 profile views 1

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 Feb11 revised Derivative of remainder function. deleted 29 characters in body Feb11 awarded Commentator Feb11 awarded Scholar Feb11 accepted Derivative of remainder function. Feb11 comment Derivative of remainder function. Better? Yeah! Surely. Accepted. Thank you for the constructive approach. Feb11 comment Derivative of remainder function. Really, it is hard to mentally move from thoughts about integer constants to thoughts about the real-valued functions. Feb11 comment Derivative of remainder function. Hmm... $[a / b]$ difenitely have steps when dividend growth and passes the points of multiplicity with respect to divisor. In such points the quotient have integer values. Feb11 comment Derivative of remainder function. $a'(x)$ is an answer only when $a(x) < b(x)$ Feb11 awarded Supporter Feb11 comment Derivative of remainder function. If $[\cdot]$ is constant regardless of constancy of an argument, than derivative is $a'(x) - [a(x)/b(x)] \cdot b'(x)$ except the points, where $a(x) = n \cdot b(x)$ for some natural $n$. Isn't it? Feb11 comment Derivative of remainder function. @AndréNicolas Interesting note. I'll try to find the solution for polinomials. Feb11 awarded Student Feb11 comment Derivative of remainder function. @MPW I think there are at least two cases: when lhs < rhs and vice-versa. Feb11 awarded Editor Feb11 revised Derivative of remainder function. added 193 characters in body Feb11 comment Derivative of remainder function. @AndréNicolas It's incredible. I intuitively feel that the solution is expressed in terms of elementary functions or even of couple of multiplications, additions, subtractions and divisions of operands and its first derivatives. Feb11 asked Derivative of remainder function.